SOLUTION: What is the solution of the equation? (x-2)^3/4 = 8

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Question 699203: What is the solution of the equation?
(x-2)^3/4 = 8
Found 2 solutions by lynnlo, josmiceli:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
-2^3√4-2=-x

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x-2%29%5E3%2F4+=+8+
+%28x-2%29%5E3%2F4+=+2%5E3+
+%28+%28x-2%29%5E%281%2F4%29+%29%5E3+=+2%5E3+
Take the cube root of both sides
+%28+x-+2%29%5E%281%2F4%29+=+2+
Raise both sides to the 4th power
+x+-+2+=+16+
+x+=+18+
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check:
+%2818-2%29%5E3%2F4+=+8+
+16%5E%283%2F4%29+=+8+
+%28+16%5E%281%2F4%29+%29%5E3+=+8+
+2%5E3+=+8+
+8+=+8+
OK